%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET102+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:11:33 PM UTC 2026
% Result : Theorem 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET102+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n020.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:53:47 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,axiom,(
% 0.11/0.38 (! [X,Y] : member(unordered_pair(X,Y),universal_class) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (! [X,Y] : ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f44,conjecture,(
% 0.11/0.38 (! [X,Y] : member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f45,negated_conjecture,(
% 0.11/0.38 ~((! [X,Y] : member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)) ))),
% 0.11/0.38 inference(negated_conjecture,[status(cth)],[f44])).
% 0.11/0.38 fof(f59,plain,(
% 0.11/0.38 ![U,X,Y]: ((~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y)))&(member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f4])).
% 0.11/0.38 fof(f60,plain,(
% 0.11/0.38 (![U,X,Y]: (~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y))))&(![U,X,Y]: (member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f59])).
% 0.11/0.38 fof(f64,plain,(
% 0.11/0.38 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X2)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.11/0.38 fof(f65,plain,(
% 0.11/0.38 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f67,plain,(
% 0.11/0.38 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.38 fof(f191,plain,(
% 0.11/0.38 (?[X,Y]: ~member(unordered_pair(X,singleton(Y)),ordered_pair(X,Y)))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.11/0.38 fof(f192,plain,(
% 0.11/0.38 ~member(unordered_pair(sK7_skl,singleton(sK8_skl)),ordered_pair(sK7_skl,sK8_skl))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f191])).
% 0.11/0.38 fof(f193,plain,(
% 0.11/0.38 ~member(unordered_pair(sK7_skl,singleton(sK8_skl)),ordered_pair(sK7_skl,sK8_skl))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f192])).
% 0.11/0.38 fof(f197,plain,(
% 0.11/0.38 ![X0,X1]: (member(X0,unordered_pair(X1,X0))|~member(X0,universal_class))),
% 0.11/0.38 inference(destructive_equality_resolution,[status(thm)],[f64])).
% 0.11/0.38 fof(f207,plain,(
% 0.11/0.38 ![X0,X1,X2]: (member(unordered_pair(X0,X1),unordered_pair(X2,unordered_pair(X0,X1))))),
% 0.11/0.38 inference(resolution,[status(thm)],[f197,f65])).
% 0.11/0.38 fof(f246,plain,(
% 0.11/0.38 ![X0,X1]: (member(unordered_pair(X0,singleton(X1)),ordered_pair(X0,X1)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f67,f207])).
% 0.11/0.38 fof(f253,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(backward_subsumption_resolution,[status(thm)],[f193,f246])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.047923 seconds
% 0.11/0.40 % CPU time: 0.154610 seconds
% 0.11/0.40 % Total memory used: 105.055 MB
% 0.11/0.40 % Net memory used: 104.923 MB
%------------------------------------------------------------------------------